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1680098304 = 21031753607
BaseRepresentation
bin110010000100100…
…0100010000000000
311100002101211121010
41210021010100000
511420101121204
6434414200520
756430412533
oct14411042000
94302354533
101680098304
1179240a7a5
123aa7b3140
1320a0cbb11
1411d1c4a1a
159c771d89
hex64244400

1680098304 has 176 divisors, whose sum is σ = 4838911488. Its totient is φ = 516292608.

The previous prime is 1680098263. The next prime is 1680098309. The reversal of 1680098304 is 4038900861.

It is a super-2 number, since 2×16800983042 = 5645460622207352832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1680098309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2767569 + ... + 2768175.

Almost surely, 21680098304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680098304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419455744).

1680098304 is an abundant number, since it is smaller than the sum of its proper divisors (3158813184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1680098304 is a wasteful number, since it uses less digits than its factorization.

1680098304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1680098304 is about 40989.0022323062. The cubic root of 1680098304 is about 1188.8075770569.

The spelling of 1680098304 in words is "one billion, six hundred eighty million, ninety-eight thousand, three hundred four".